Hölder estimates for the Stefan problem

DOI10.1137/23M1600013MaRDI QIDQ6661367

Naian Liao

Publication date: 13 January 2025

Published in: SIAM Journal on Mathematical Analysis (Search for Journal in Brave)

zbMATH Keywords

Stefan problemHölder continuityparabolic \(p\)-Laplacianexpansion of positivityintrinsic scaling

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) PDEs with multivalued right-hand sides (35R70) Stefan problems, phase changes, etc. (80A22) Degenerate parabolic equations (35K65) A priori estimates in context of PDEs (35B45) Quasilinear parabolic equations with (p)-Laplacian (35K92)

Cites Work

• Title not available (Why is that?)
• A quantitative modulus of continuity for the two-phase Stefan problem
• Degenerate parabolic equations
• Harnack estimates for quasi-linear degenerate parabolic differential equations
• Continuity of the temperature in the two-phase Stefan problem
• Continuity of weak solutions to certain singular parabolic equations
• Hölder estimates of solutions of singular parabolic equations with measurable coefficients
• Obituary: In memoriam Emmanuele DiBenedetto (1947--2021)
• The method of intrinsic scaling. A systematic approach to regularity for degenerate and singular PDEs
• On the logarithmic type boundary modulus of continuity for the Stefan problem. To the memory of Emmanuele DiBenedetto
• Hölder estimates for nonlinear degenerate parabolic sytems.
• Local Continuity of Weak Solutions to the Stefan Problem Involving the Singular $p$-Laplacian
• Real Analysis

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